Title: Abelian Varieties

Speaker: Dr. Bin Zhao (Morningside Center of Mathematics, Chinese Academy of Sciences)
Time: 10:00-12:00, every Tue. & Thurs. between Jul. 7th and Aug. 27th
Tencent Meeting ID: 498 966 9233
Password: 123456

Abstract: The course will give a general introduction to abelian varieties, including complex analytic theory, general algebraic theory (over an arbitrary field), duality, endomorphism algebras, and some special results over finite fields, global fields (and local fields if time permits). Emphasis will be put on the algebraic and arithmetic sides of the theory. Familiarity with the theory of schemes (e.g. Chapter 2 and 3 of Hartshorne’s Algebraic geometry) will be very helpful. We will use Mumford’s Abelian varieties as the textbook.